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Finding the Third Proportional to 5,380,685,831 and 7,573,889,522

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Solution

The third proportional to 5,380,685,831 and 7,573,889,522 is: 10,661,057,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380,685,831 : 7,573,889,522 = 7,573,889,522 : x
  2. Step 2: Convert to fraction form
    5,380,685,831/7,573,889,522 = 7,573,889,522/x
  3. Step 3: Cross multiply
    5,380,685,831x = 7,573,889,522 × 7,573,889,522
  4. Step 4: Simplify right side
    5,380,685,831x = 57,363,802,491,461,386,240
  5. Step 5: Solve for x
    x = 57,363,802,491,461,386,240/5,380,685,831
  6. Step 6: Final answer
    x = 10,661,057,770.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.